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I Hurwitz Identity Proof

  1. Jan 22, 2017 #1
    Hi,

    My notes say that hurwitz identity currently has no elementary proof?

    One way to prove the identity is through modular forms: to consider Eisenstein series, ##E_4^2## and ##E_8## , note that the dimension of space of modular functions of weight 8 is one, find the constant of proportionality to be ##1## by comparing the first coefficient which is identically one (sufficing here since the dimension of the space is one) and so the identity comes out by setting these two Eisenstein series equal.

    What other proofs are there?

    Thanks
     
  2. jcsd
  3. Feb 22, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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